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Finding the Fourth Proportional to 11,786.51, 17,663.27 and 6,523.94

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Solution

The fourth proportional to 11,786.51, 17,663.27 and 6,523.94 is: 9,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.51 : 17,663.27 = 6,523.94 : x
  2. Step 2: Convert to fraction form
    11,786.51/17,663.27 = 6,523.94/x
  3. Step 3: Cross multiply
    11,786.51x = 17,663.27 × 6,523.94
  4. Step 4: Simplify right side
    11,786.51x = 115,234,125.22
  5. Step 5: Solve for x
    x = 115,234,125.22/11,786.51
  6. Step 6: Final answer
    x = 9,776.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.